In △ABC, m∠C=95°, a=26, and b=17. Identify c rounded to the nearest tenth.

32.3

Step-by-step explanation:

According to the Law of Cosines, for any △ABC with sides lengths a, b, and c, a2=b2+c2−2bccosA; b2=a2+c2−2ac cosB; and c2=a2+b2−2abcosC.

Set up the equation for the Law of Cosines:

c2=a2+b2−2abcosC

Substitute the known values into the Law of Cosines:

c2=262+172−2(26)(17)cos 95°

Square the values and multiply:

с2=676+289−884cos95°

Add:

c2=965−884cos95°

Take the square root of both sides:

c=965−884cos95°

Calculate the value of cosine 95° on a calculator and solve for the positive value of square root to find c:

c≈32.3

Therefore, c≈32.3.

So, the length of side c is approximately 32.3 units.

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!